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Finding the Fourth Proportional to 621.85, 932.82 and 189.01

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Solution

The fourth proportional to 621.85, 932.82 and 189.01 is: 283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.85 : 932.82 = 189.01 : x
  2. Step 2: Convert to fraction form
    621.85/932.82 = 189.01/x
  3. Step 3: Cross multiply
    621.85x = 932.82 × 189.01
  4. Step 4: Simplify right side
    621.85x = 176,312.31
  5. Step 5: Solve for x
    x = 176,312.31/621.85
  6. Step 6: Final answer
    x = 283.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.